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2138954020 = 22574761732
BaseRepresentation
bin111111101111101…
…1101100100100100
312112001211010022021
41333133131210210
513340033012040
6552125112524
7104001544360
oct17737354444
95461733267
102138954020
119a84248a5
124b83b8744
132811a9588
1416410a2a0
15c7bae24a
hex7f7dd924

2138954020 has 144 divisors (see below), whose sum is σ = 5402654208. Its totient is φ = 696314880.

The previous prime is 2138954017. The next prime is 2138954021. The reversal of 2138954020 is 204598312.

It is not an unprimeable number, because it can be changed into a prime (2138954021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29300704 + ... + 29300776.

It is an arithmetic number, because the mean of its divisors is an integer number (37518432).

Almost surely, 22138954020 is an apocalyptic number.

2138954020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138954020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701327104).

2138954020 is an abundant number, since it is smaller than the sum of its proper divisors (3263700188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2138954020 is a wasteful number, since it uses less digits than its factorization.

2138954020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2138954020 is about 46248.8272283741. The cubic root of 2138954020 is about 1288.4487532991.

The spelling of 2138954020 in words is "two billion, one hundred thirty-eight million, nine hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 61 70 73 94 122 140 146 188 235 244 292 305 329 365 427 470 511 610 658 730 854 940 1022 1220 1316 1460 1645 1708 2044 2135 2555 2867 3290 3431 4270 4453 5110 5329 5734 6580 6862 8540 8906 10220 10658 11468 13724 14335 17155 17812 20069 21316 22265 24017 26645 28670 31171 34310 37303 40138 44530 48034 53290 57340 62342 68620 74606 80276 89060 96068 100345 106580 120085 124684 149212 155855 186515 200690 209291 240170 250463 311710 325069 373030 401380 418582 480340 500926 623420 650138 746060 837164 1001852 1046455 1252315 1300276 1465037 1625345 1753241 2092910 2275483 2504630 2930074 3250690 3506482 4185820 4550966 5009260 5860148 6501380 7012964 7325185 8766205 9101932 11377415 14650370 15278243 17532410 22754830 29300740 30556486 35064820 45509660 61112972 76391215 106947701 152782430 213895402 305564860 427790804 534738505 1069477010 2138954020